Janus and J -fold solutions from Sasaki-Einstein manifolds

Abstract

We show that for every Sasaki-Einstein manifold, M5, the AdS5 × M5 background of type IIB supergravity admits two universal deformations leading to supersymmetric AdS4 solutions. One class of solutions describes an AdS4 domain wall in AdS5 and is dual to a Janus configuration with N = 1 supersymmetry. The other class of backgrounds is of the form AdS4 × S 1 × M5 with a nontrivial SL(2, Z) monodromy for the IIB axio-dilaton along the S 1 . These AdS4 solutions are dual to three-dimensional N = 1 SCFTs. Using holography we express the S 3 free energy of these theories in terms of the conformal anomaly of the four-dimensional N = 1 SCFT arising from D3-branes on the Calabi-Yau cone over M5.

$$ \mathcal{N} $$ = 2 supersymmetric S-folds

“…This is still our case, so the S-folds presented here preserve N = 2 supersymmetry. Lastly, various holographic aspects of both N = 4 [27] and N = 1 [32,36] S-folds with hyperbolic monodromies have respectively been investigated in [33,34,35] and [36] within the context of three-dimensional quiver theories involving N = 4 T (U (N )) theories [38], and their potential generalisation to N = 1 SCFT's. It would be interesting to extend these holographic studies to the N = 2 S-folds with hyperbolic monodromies (3.39) presented in this work.…”

“…Together with the N = 4 & SO(4) solution, additional N = 0 & SO(6) [31] and N = 1 & SU(3) [32] solutions have been found and uplifted to similar S-fold backgrounds of type IIB supergravity with hyperbolic monodromies in [32]. From a holographic perspective, these AdS 4 vacua describe new strongly coupled three-dimensional CFT's, referred to as J-fold CFT's in [33] (see also [34,35] and [36]), which are localised on interfaces of N = 4 super-Yang-Mills theory (SYM) [37]. In the N = 4 case [33], a hyperbolic monodromy J = −S T k ∈ SL(2, Z) IIB was shown to introduce a Chern-Simons level k in the dual J-fold CFT which, in turn, is constructed from the T (U (N )) theory [38] upon suitable gauging of flavour symmetries.…”

Universal properties of Kaluza-Klein gravitons

“…We now move on to compute the graviton spectrum about the AdS 4 solutions of type IIB supergravity recently obtained in [20]. These geometries arise upon consistent uplift [17] on an S-fold geometry of AdS 4 vacua of D = 4 N = 8 gauged supergravity with dyonic [SO(6) × SO(1, 1)] ⋉ R 12 gauging [4,2] (see also [35]). The resulting type IIB uplifts correspond to limiting Janus-type solutions [36,37,38,39].…”

Duality walls in the 4d $$ \mathcal{N} $$ = 2 SU(N) gauge theory with 2N flavours

“…It would be nice to better understand such an assumption and, if it is true, the property of such conformal fixed points. Another important future work is to understand the holographic dual of the theories discussed in this paper along the line of [31,43]. Finally, we would like to understand properties of the moduli space of vacua of the 3d N = 2 theories in this paper along the line of [32], as well as to generalise our result to 4d N = 2 gauge theory with orthogonal, symplectic and exceptional gauge groups in analogy to those studied in [33].…”